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Finding the Fourth Proportional to 52,509.38, 78,796.86 and 34,991.50

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Solution

The fourth proportional to 52,509.38, 78,796.86 and 34,991.50 is: 52,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509.38 : 78,796.86 = 34,991.50 : x
  2. Step 2: Convert to fraction form
    52,509.38/78,796.86 = 34,991.50/x
  3. Step 3: Cross multiply
    52,509.38x = 78,796.86 × 34,991.50
  4. Step 4: Simplify right side
    52,509.38x = 2,757,220,326.69
  5. Step 5: Solve for x
    x = 2,757,220,326.69/52,509.38
  6. Step 6: Final answer
    x = 52,509.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.